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Finding the Fourth Proportional to 74,302.80, 102,536.16 and 42,469.80

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Solution

The fourth proportional to 74,302.80, 102,536.16 and 42,469.80 is: 58,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,302.80 : 102,536.16 = 42,469.80 : x
  2. Step 2: Convert to fraction form
    74,302.80/102,536.16 = 42,469.80/x
  3. Step 3: Cross multiply
    74,302.80x = 102,536.16 × 42,469.80
  4. Step 4: Simplify right side
    74,302.80x = 4,354,690,207.97
  5. Step 5: Solve for x
    x = 4,354,690,207.97/74,302.80
  6. Step 6: Final answer
    x = 58,607.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.